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Gibbs Paradox and Its Resolutions

The resolution of the Gibbs paradox has been very controversial. A list of papers mainly published in journals on this topic has been compiled by Dr. Shu-Kun Lin (E-mail: lin@mdpi.com) and is presented in this group. Comments and suggestions for additional papers to be listed here are welcomed.
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List of Journal Papers and Book Chapters

 
Dietrich Rordorf  |  16 July 2014 17:23  |  0 replies  |  View topic in separate thread
Please see the "Bibliography" tab for a list of journal papers and book chapters about Gibbs Paradox prepated by Dr. Shu-Kun Lin (citations [] to []). You are encouraged to upload PDF versions of the referenced papers and book chapters, if you have them available. Uploaded file will be available for other users of the group upon request (unless they are open access articles). You are also invited to add your own publications on the subject using the "Add new citation" button in the "Bibliography" tab.

Citations

1. Bazarov, I. Gibbs paradox and its experimental detection. Russian Physics Journal 1973, 16, 1715-1718; doi:10.1007/BF00893668
2. Gibbs, J. Elementary Principles in Statistical Mechanics; Ox Bow Press: Woodbridge, CT, 1902
3. Schrödinger, E. Isotopie und Gibbssches Paradoxon. The European Physical Journal A 1921, 5, 163-166; doi:10.1007/BF01329248
4. Watson, D. L. Biological Organization. The Quarterly Review of Biology 1931, 6, 143-166; doi:10.1086/394374
5. Born, M. Max Karl Ernst Ludwig Planck. 1858-1947. Obituary Notices of Fellows of the Royal Society 1948, 6, 161-188; doi:10.1098/rsbm.1948.0024
6. Onsager, L. The Effects of Shape on the Interaction of Colloidal Particles. Annals of the New York Academy of Sciences 1949, 51, 627-659; doi:10.1111/j.1749-6632.1949.tb27296.x
7. Rothstein, J. Information, Measurement, and Quantum Mechanics. Science 1951, 114, 171-175; doi:10.1126/science.114.2955.171
8. Lande, A. Continuity, A Key to Quantum Mechanics. Philosophy of Science 1953, 20, 101-109; doi:10.1086/287249
9. Lande, A. The Logic of Quanta. The British Journal for the Philosophy of Science 1956, 0, 300-320; doi:10.1093/bjps/VI.24.300
10. Klein, M. J. Note on a Problem Concerning the Gibbs Paradox. American Journal of Physics 1958, 26, 80-81; doi:10.1119/1.1996106
11. Falk, G. Third Law of Thermodynamics. Physical Review 1959, 115, 249-253; doi:10.1103/PhysRev.115.249
12. Grad, H. The many faces of entropy. Communications on Pure and Applied Mathematics 1961, 14, 323-354; doi:10.1002/cpa.3160140312
13. Noyes, R. Entropy of Mixing of Interconvertible Species. Some Reflections on the Gibbs Paradox. Journal of Chemical Physics 1961, 34, 1983-1985; doi:10.1063/1.1731804
14. Varshavsky, Y.; Sheinin, A. On the entropy of systems containing poorly distinguishable components. Dokl. Akad. Nauk SSSR 1963, 148 , 1099-1101
15. Rosen, R. The Gibbs' Paradox and the Distinguishability of Physical Systems. Philosophy of Science 1964, 31, 232-236; doi:10.1086/288005
16. Lande, A. Solution of the Gibbs Entropy Paradox. Philosophy of Science 1965, 32, 192-193; doi:10.1086/288041
17. Fong, P. Semipermeable Membrane and the Gibbs Paradox. American Journal of Physics 1964, 32, 170-171; doi:10.1119/1.1970148
18. Fáy, G. Notes on the quantum-mechanical discussion of the Gibbs paradox Замечания к квантовомеханическому рассмотрению парадокса гиББса. Acta Physica Academiae Scientiarum Hungaricae 1965, 18, 273-283; doi:10.1007/BF03156446
19. Lesk, A. M. On the Gibbs paradox: what does indistinguishability really mean?. Journal of Physics A: Mathematical and General 1980, 13, L111-L114; doi:10.1088/0305-4470/13/4/008
20. Boyer, T. H. Sharpening Bridgman's Resolution of the Gibbs Paradox. American Journal of Physics 1970, 38, 771-773; doi:10.1119/1.1976456
21. Penrose, O. Fundations of Statistical Mechanics; Pergamon Press: Dover, New York, 1970; p. 171-172
22. Lyuboshits, V. L.; Podgoretskii, M. I. Entropy of a Polarized Gas and the Gibbs Paradox. Soviet Physics Doklady 1971, 15, 858
23. Alexanian, M. Gibbs Paradox in Particle Physics. Physical Review D 1971, 4, 2432-2439; doi:10.1103/PhysRevD.4.2432
24. 24. Lyuboshits, V. L.; Podgoretskii, M. I. The Gibbs Paradox. Physics-Uspekhi 1972, 14, 662-666
25. Casper, B. M. “Gibbs Paradox” Paradox. American Journal of Physics 1973, 41, 509; doi:10.1119/1.1987279
26. Bazarov, I. Gibbs paradox and its experimental detection. Russian Physics Journal 1973, 16, 1715-1718
27. Bazarov, I. P. Einstein's paradox and a new mixing paradox. Russian Physics Journal 1975, 18, 626-629; doi:10.1007/BF00893992
28. Sklar, L. Thermodynamics, Statistical Mechanics and the Complexity of Reductions. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1976, 15-32; doi:10.1007/978-94-010-1449-6_2
29. Varshavsky, Y.; Sheinin, A. Discussion of Gibbs paradox. Zhurnal Fizicheskoi Khimii 1975, 49, 564-564
30. Gelfer, M.; Luboshitz, V. L.; Podgoretskii, M. I. Gibbs Paradox and Identity of Particles in Quantum Mechanics; Moscow: Nauka, 1975
31. Leinaas, J. M.; Myrheim, J. On the theory of identical particles К теории тождествениых частиц. Il Nuovo Cimento B 1977, 37, 1-23; doi:10.1007/BF02727953
32. Biot, M. New Fundamental Concepts and results in thermodynamics with chemical applications. 1977, Vol 22, 183-198; http://www.pmi.ou.edu/Biot2005/biotConferenceBiotsPapers.htm
33. Biot, M. Variational-Lagrangian irreversible thermodynamics of initially-stressed solids with thermomolecular diffusion and chemical reactions. 1977, Vol 25, 289-307; http://www.pmi.ou.edu/Biot2005/biotConferenceBiotsPapers.htm
34. Biot, M. New Variational-Lagrangian Thermodynamics of Viscous Fluid Mixtures with Thermomolecular Diffusion. 1979, Vol 365, 467-494; http://www.pmi.ou.edu/Biot2005/biotConferenceBiotsPapers.htm
35. Lavis, D. The Role of Statistical Mechanics in Classical Physics. The British Journal for the Philosophy of Science 1977, 28, 255-279; doi:10.1093/bjps/28.3.255
36. Landsberg, P. T.; D The Gibbs paradox and quantum gases. American Journal of Physics 1978, 46, 228-230; doi:10.1119/1.11129
37. Lesk, A. M. On the Gibbs paradox: what does indistinguishability really mean?. Journal of Physics A: Mathematical and General 1999, 13, L111-L114; doi:10.1088/0305-4470/13/4/008
38. Grandy, W. T. Indistinguishability, symmetrisation and maximum entropy. European Journal of Physics 1981, 2, 86-90; doi:10.1088/0143-0807/2/2/005
39. Gough, W.; Richards, J. P. G. Distinguishability in the teaching of statistical mechanics. European Journal of Physics 1981, 2, 82-85; doi:10.1088/0143-0807/2/2/004
40. Penrose, O. Entropy and Irreversibility. Annals of the New York Academy of Sciences 1981, 373, 211-219; doi:10.1111/j.1749-6632.1981.tb51149.x
41. Varshavsky, Y.; Sheinin, A. Gibbs on the "Gibbs paradox". Problems of the History of Science and Technology 1983 , 68-75
42. van Kampen, N. The Gibbs Paradox. Essays in Theoretical Physics 1984, 303-312; doi:10.1016/B978-0-08-026523-0.50020-5
43. Kemp, H. R. Gibbs' paradox for entropy of mixing. Journal of Chemical Education 1985, 62, 47-49; doi:10.1021/ed062p47
44. Gubin, V. Some requirements to the right solution of Gibbs paradox. Zhurnal Fizicheskoi Khimii 1985, 59, 517-520
45. McDonald, J. J. Gibbs' paradox: Two views on the correction term. Journal of Chemical Education 1986, 63, 735; doi:10.1021/ed063p735
46. Kemp, H. R. Gibbs' paradox: Two views on the correction term. Journal of Chemical Education 1986, 63, 736; doi:10.1021/ed063p736
47. Keesing, R. G. Lost work and the entropy of mixing. European Journal of Physics 1986, 7, 266-268; doi:10.1088/0143-0807/7/4/009
48. Ben-Naim, A. Is mixing a thermodynamic process?. American Journal of Physics 1987, 55, 725; doi:10.1119/1.15064
49. Mehra, J. Erwin Schrödinger and the rise of wave mechanics. II. The creation of wave mechanics. Foundations of Physics 1987, 17, 1141-1188; doi:10.1007/BF01889592
50. Dieks, D.; van Dijk, V. Another look at the quantum mechanical entropy of mixing. American Journal of Physics 1988, 56, 430-434; doi:10.1119/1.15571
51. Richardson, I. The Gibbs paradox and unidirectional fluxes. European Biophysics Journal 1989, 17, 2811-286; doi:10.1007/BF00254285
52. Rössler, O. Symmetry-Induced Disappearance of Reality: The Leibniz Effect. Leonardo 1989, 22, 54-59
53. Lin, S. Gibbs paradox and its resolutions. Ziran Zazhi 1989, 12, 376-379
54. Biedenharn, L. C.; Truini, P.; Dam, H. V. A remark on possible violations of the Pauli principle. Journal of Physics A: Mathematical and General 1989, 22, L67-L71; doi:10.1088/0305-4470/22/3/002
55. Denbigh, K. G.; Redhead, M. L. G. Gibbs' paradox and non-uniform convergence. Synthese 1989, 81, 283-312; doi:10.1007/BF00869318
56. Wantke, K. A Remark on the GIBBS-Paradox of the Entropy of Mixing of Ideal Gases. Berichte der Bunsengesellschaft für physikalische Chemie 1991, 94, 537-537; doi:10.1002/bbpc.19910950417
57. Pešić, P. D. The principle of identicality and the foundations of quantum theory. I. The Gibbs paradox. American Journal of Physics 1991, 59, 971-974; doi:10.1119/1.16653
58. Pešić, P. D. The principle of identicality and the foundations of quantum theory. II. The role of identicality in the formation of quantum theory. American Journal of Physics 1991, 59, 975-979; doi:10.1119/1.16654
59. PRICE, H. The Philosophy of Physics. The British Journal for the Philosophy of Science 1991, 42, 111-144; doi:10.1093/bjps/42.1.111
60. Jaynes, E. The Gibbs Paradox, In Maximum Entropy and Bayesian Methods; Smith, C. R.; Erickson, G. J.; Neudorfer, P. O., Eds.; Kluwer . Academic: Dordrecht. 1992, 1-22; http://bayes.wustl.edu/etj/node1.html
61. Levitin, L. Gibbs Paradox And Equivalence Relation Between Quantum Information And Work. Physics and Computation. 1992; ieeexplore.ieee.org
62. Werner, R. The free quon gas suffers Gibbs' paradox. Physical Review D 1993, 48, 2929-2934; doi:10.1103/PhysRevD.48.2929
63. Goodison, J.; Toms, D. The canonical partition function for quons. Physics Letters A 1994, 195, 38-42; doi:10.1016/0375-9601(94)90423-5
64. Beghian, L. E. Maxwell’s demon revisited. Il Nuovo Cimento B 1994, 109, 611-616; doi:10.1007/BF02728444
65. Mosini, V. Fundamentalism, antifundamentalism, and Gibbs' paradox. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 1995, 26, 151-162; doi:10.1016/1355-2198(95)00008-9
66. Blumenfeld, L.; Grosberg, A. Gibbs paradox and the notion of construction in thermodynamics and statistic physics. Biofizika 1995, 40, 660-667
67. Blyumenfel'd, L. A.; Grosberg, A. Gibbs' paradox and the concept of the construction of the system in thermodynamics and statistical physics. Biophysics 1995, 40, 653-660
68. Lee, M. H. Chemical potential: Gibbs-Duhem approach. Physical Review E 1996, 53, 5488-5490; doi:10.1103/PhysRevE.53.5488
69. Warren, P. Erratum: Combinatorial Entropy and the Statistical Mechanics of Polydispersity [Phys. Rev. Lett. 80, 1369 (1998)]. Physical Review Letters 1998, 80, 3671-3671; doi:10.1103/PhysRevLett.80.3671
70. Lin, S. Correlation of Entropy with Similarity and Symmetry. Journal of Chemical Information and Modeling 1996, 36, 367-376; doi:10.1021/ci950077k
71. Lin, S. Molecular Diversity Assessment: Logarithmic Relations of Information and Species Diversity and Logarithmic Relations of Entropy and Indistinguishability after Rejection of Gibbs Paradox of Entropy of Mixing. Molecules 1996, 1, 57-67; doi:10.1007/s007830050010
72. Lin, S. Gibbs paradox of entropy of mixing: experimental facts, its rejection and the theoretical consequences. Electronic Journal of Theoretical Chemistry 2001, 1, 135-151; doi:10.1002/ejtc.27
73. Lin, S. Understanding structural stability and process spontaneity based on the rejection of the Gibbs paradox of entropy of mixing. Journal of Molecular Structure: THEOCHEM 1997, 398, 145-153; doi:10.1016/S0166-1280(97)00077-8
74. Navarro, L. Gibbs, Einstein and the Foundations of Statistical Mechanics. Archive for History of Exact Sciences 1998, 53, 147-180; doi:10.1007/s004070050025
75. Harrison, S.; Dunham, P. Decoherence, Quantum Theory and their Implications for the Philosophy of Geomorphology. Transactions of the Institute of British Geographers 1998, 23, 501-514; doi:10.1111/j.0020-2754.1998.00501.x
76. Needham, P. What is Water?. Analysis 2000, 60, 13-21; doi:10.1093/analys/60.1.13
77. Styer, D. F. Insight into entropy. American Journal of Physics 2000, 68, 1090-1096; doi:10.1119/1.1287353
78. Brown, H. R.; Sjöqvist, E.; Bacciagaluppi, G. Remarks on identical particles in de Broglie-Bohm theory. Physics Letters A 1999, 251, 229-235; doi:10.1016/S0375-9601(98)00907-4
79. Smith, J. D. Some Observations on the Concepts of Information-Theoretic Entropy and Randomness. Entropy 2001, 3, 1-11; doi:10.3390/e3010001
80. Lin, S. The Nature of the Chemical Process. 1. Symmetry Evolution – Revised Information Theory, Similarity Principle and Ugly Symmetry. International Journal of Molecular Sciences 2001, 2, 10-39; doi:10.3390/i2010010
81. Hansson, T.; Isakov, S.; Leinaas, J.; Lindström, U. Classical phase space and statistical mechanics of identical particles. Physical Review E 2001, 63, 026102; doi:10.1103/PhysRevE.63.026102
82. Scherer, L. La paradoja de Gibbs. Journal of the Mexican Chemical Society 2001, 45, 145-148
83. Swendsen, R. Statistical mechanics of classical systems with distinguishable particles. Journal of Statistical Physics 2002, 107, 1143-1166; doi:10.1023/A:1015161825292
84. Tseng, C.; Caticha, A. Yet another resolution of the Gibbs paradox: an information theory approach. American Institute of Physics 2002, 617, 331; doi:10.1063/1.1477057
85. Das, S.; Sengupta, S. Extensivity of entropy. Indian Journal of Pure and Applied Physics 2003, 41, 941-945
86. Muller, I. In: Waves and Stability in Continuous Media, Proceedings of the 12th Conference on WASCOM 2003. In Considerations about the Gibbs paradox; Monaco, R.; Pennisi, S.; Rionero, S.; Ruggeri, T., Eds.; World Scientific Publishing Co., 2004; pp. 341-351
87. French, S. R. . D.; Brading, K.; Castellani, E.; Brading, K.; Castellani, E. Understanding permutation symmetry. Symmetries in Physics 2009, 212-238; doi:10.1017/CBO9780511535369.013
88. Almeida, M. Thermodynamical entropy (and its additivity) within generalized thermodynamics. Physica A: Statistical Mechanics and its Applications 2003, 325, 426-438; doi:10.1016/S0378-4371(03)00262-0
89. Estrada, E.; Avnir, D. Continuous Symmetry Numbers and Entropy. Journal of the American Chemical Society 2003, 125, 4368-4375
90. Lowe, J. P.; Spencer, J. N. Entropy: The Effects of Distinguishability. Journal of Chemical Education 2003, 80, 1417-1424; doi:10.1021/ed080p1417
91. Weinstein, S. Objectivity, Information, and Maxwell's Demon. Philosophy of Science 2003, 70, 1245-1255; doi:10.1086/377404
92. Paty, M.; Renn, J.; Divarci, L.; Schröter, P.; Ashtekar, A.; Cohen, R. S.; Howard, D.; Sarkar, S.; Shimony, A. The Concept of Quantum State: New Views on old Phenomena. Revisiting the Foundations of Relativistic Physics 2003, 451-478; doi:10.1007/978-94-010-0111-3_23
93. Nagle, J. F. Regarding the Entropy of Distinguishable Particles. Journal of Statistical Physics 2004, 117, 1047-1062; doi:10.1007/s10955-004-5715-5
94. Swendsen, R. H. Response to Nagle's Criticism of My Proposed Definition of the Entropy. Journal of Statistical Physics 2004, 117, 1063-1070; doi:10.1007/s10955-004-5716-4
95. Qian, H.; Elson, E. L. Fluorescence correlation spectroscopy with high-order and dual-color correlation to probe nonequilibrium steady states. Proceedings of the National Academy of Sciences 2004, 101, 2828-2833; doi:10.1073/pnas.0305962101
96. Remacle, F.; Levine, R. D. Quasiclassical computation. Proceedings of the National Academy of Sciences 2004, 101, 12091-12095; doi:10.1073/pnas.0403871101
97. Breuer, J.; Avnir, D. Continuity in symmetry and in distinguishability of states: The symmetry numbers of nonrigid molecules. Journal of Chemical Physics 2005, 122, 074110; doi:10.1063/1.1845394
98. Kumar, N. Bose–Einstein condensation: Where many become one and so there is plenty of room at the bottom. Current Science 2005, 89, 2093-2100
99. Rosen, J. The Symmetry Principle. Entropy 2005, 7, 308-313; doi:10.3390/e7040308
100. Balian, R. Information in statistical physics. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 2005, 36, 323-353; doi:10.1016/j.shpsb.2005.02.001
101. Hutter, K. Thermodynamics of polycrystalline materials within the theory of mixtures with continuous diversity. Geophysical Research Abstracts 2005, 7, 02210
102. Mana, P. G. L.; Maansson, A.; Bjoerk, G. On distinguishability, orthogonality, and violations of the second law: contradictory assumptions, contrasting pieces of knowledge.. 2005; http://arxiv.org/abs/quant-ph/0505229
103. Haitun, S. D. The History of the Gibbs Paradox; Moscow: KomKniga. 2005
104. Enders, P. Equality and Identity and (In)distinguishability in Classical and Quantum Mechanics from the Point of View of Newton's Notion of State. Frontiers of Fundamental Physics 2006, 239-245; doi:10.1007/1-4020-4339-2_31
105. Allahverdyan, A.; Nieuwenhuizen, T. Explanation of the Gibbs paradox within the framework of quantum thermodynamics. Physical Review E 2006, 73, 066119; doi:10.1103/PhysRevE.73.066119
106. Saunders, S. On the explanation for quantum statistics. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 2006, 37, 192-211; doi:10.1016/j.shpsb.2005.11.002
107. Swendsen, R. H. Statistical mechanics of colloids and Boltzmann’s definition of the entropy. American Journal of Physics 2006, 74, 187-190; doi:10.1119/1.2174962
108. Ben-Naim, A. The entropy of mixing and assimilation: An information-theoretical perspective. American Journal of Physics 2006, 74, 1126-1135; doi:10.1119/1.2338545
109. Faria, S. H. Creep and recrystallization of large polycrystalline masses. I. General continuum theory. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 2006, 462, 1493-1514; doi:10.1098/rspa.2005.1610
110. Faria, S. H.; Kremer, G. M.; Hutter, K. Creep and recrystallization of large polycrystalline masses. II. Constitutive theory for crystalline media with transversely isotropic grains. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 2006, 462, 1699-1720; doi:10.1098/rspa.2005.1635
111. Faria, S. H. Creep and recrystallization of large polycrystalline masses. III. Continuum theory of ice sheets. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 2006, 462, 2797-2816; doi:10.1098/rspa.2006.1698
112. Diósi, L.; Feldmann, T.; Kosloff, R. On exact identity between thermodynamic and informatic entropies in a unitary model of friction. International Journal of Quantum Information 2006, 4, 99-104; doi:10.1142/S0219749906001645
113. Uffink, J. Compendium of the foundations of classical statistical physics - Philosophy of Science Archive; Elsevier, 2006; p. 81
114. Ben-Naim, A. On the So-Called Gibbs Paradox, and on the Real Paradox. Entropy 2007, 9, 132-136; doi:10.3390/e9030133
115. 115. Lekner, J. Young Einstein and the beginnings of quantum mechanics. New Zealand Science Review 2007, 64, 11-19
116. Kiefer, C.; Kolland, G. Gibbs’ paradox and black-hole entropy. General Relativity and Gravitation 2008, 40, 1327-1339; doi:10.1007/s10714-008-0609-5
117. Neumaier, A. On the foundations of thermodynamics. 2007; http://arxiv.org/abs/0705.3790
118. Moroi, Y. Air/Solution interface and adsorption - Solution for the Gibbs paradox. Croatica Chemica Acta 2007, 80, 381-394
119. Urusov, V. S. Gibbs paradox and symmetrization of a multicomponent system. Doklady Physical Chemistry 2007, 417, 337-341; doi:10.1134/S0012501607120068
120. Shafiee, A.; Karimi, M. On the relationship between entropy and information. General Relativity and Gravitation. 2007; http://arxiv.org/abs/quant-ph/0611061
121. Kozliak, E. I. Consistent Application of the Boltzmann Distribution to Residual Entropy in Crystals. Journal of Chemical Education 2007, 84, 493-498; doi:10.1021/ed084p493
122. Enders, P. Is Classical Statistical Mechanics Self-Consistent?. Progress in Physics 2007, 3, 85-87
123. Lin, S. Gibbs Paradox and the Concepts of Information, Symmetry, Similarity and Their Relationship. Entropy 2008, 10, 1-5; doi:10.3390/entropy-e10010001
124. Swendsen, R. H. Gibbs’ Paradox and the Definition of Entropy. Entropy 2008, 10, 15-18; doi:10.3390/entropy-e10010015
125. Maslov, V. P. Solution of the Gibbs paradox in the framework of classical mechanics (Statistical Physics) and crystallization of the gas C 60. Mathematical Notes 2008, 83, 716-722; doi:10.1134/S0001434608050167
126. Maslov, V. P. New distribution formulas for classical gas, clusters, and phase transitions. Theoretical and Mathematical Physics 2008, 157, 1577-1594; doi:10.1007/s11232-008-0131-7
127. Lin, S. Gibbs Paradox and Similarity Principle. American Institute of Physics 2008, 1073, 49-60; doi:10.1063/1.3039022
128. Kozliak, E. Residual Entropy, the Third Law and Latent Heat. Entropy 2008, 10, 274-284; doi:10.3390/e10030274
129. Paglietti, A. Thermal Radiation Effect in the Free Expansion of an Ideal Gas and Gibbs' Paradox in Classical Thermodynamics. 2009; http://arxiv.org/abs/0901.1799
130. Paglietti, A. Interaction with thermal radiation in the free expansion and mixing of ideal gases and Gibbs' paradox in classical thermodynamics. 2009; http://arxiv.org/abs/0904.4015
131. Cheng, C. Thermodynamics of the System of Distinguishable Particles. Entropy 2009, 11, 326-333; doi:10.3390/e11020326
132. Maruyama, K.; Nori, F.; Vedral, V. Colloquium: The physics of Maxwell’s demon and information. Reviews of Modern Physics 2009, 81, 1-23; doi:10.1103/RevModPhys.81.1
133. Minkova, N. R. Finite Instrumental Resolution Scales in Plasma Modeling. Contributions to Plasma Physics 2009, 49, 90-97; doi:10.1002/ctpp.200910012
134. Lee, S.; Pedrycz, W.; Sohn, G. Design of Similarity and Dissimilarity Measures for Fuzzy Sets on the Basis of Distance Measure. International Journal of Fuzzy Systems 2009, 11, 67-72
135. Plasson, R.; Brandenburg, A. Homochirality and the need of energy. 2009; http://arxiv.org/abs/0908.0658
136. Tseng, C. Abstract: X39.00007 : Statistical mechanics rooted in maximum entropy method shows absence of the Gibbs paradox. In Statistical mechanics rooted in maximum entropy method shows absence of the Gibbs paradox; 2008
137. Thomas, V. H.; Tran, X.; John, S. O. Architecting of Systems of Systems for Delivery of Sustainable Value. In Second International Symposium on Engineering Systems; 2009
138. Niven, R. K. Combinatorial entropies and statistics. The European Physical Journal B 2009, 70, 49-63; doi:10.1140/epjb/e2009-00168-5
139. Enders, P. Gibbs’ Paradox in the Light of Newton’s Notion of State. Entropy 2009, 11, 454-456; doi:10.3390/e11030454
140. Wang, H.; Lee, S.; Kim, J. Quantitative Comparison of Similarity Measure and Entropy for Fuzzy Sets. Lecture Notes in Computer Science 2009, 5678, 688-695; doi:10.1007/978-3-642-03348-3_72
141. Kozlov, V. V. Kinetics of collisionless gas: Equalization of temperature, growth of the coarse-grained entropy and the Gibbs paradox. Regular and Chaotic Dynamics 2009, 14, 535-540; doi:10.1134/S1560354709040091
142. Kozliak, E. I. Overcoming Misconceptions about Configurational Entropy in Condensed Phases. Journal of Chemical Education 2009, 86, 1063-1068; doi:10.1021/ed086p1063
143. Stepanov, I. A. Explanation of the Gibbs paradox in statistical mechanics. Physical Chemistry: An Indian Journal 2016, 11, 1-6
144. Versteegh, M. A. M.; Dieks, D. The Gibbs paradox and the distinguishability of identical particles. American Journal of Physics 2011, 79, 741-0; doi:10.1119/1.3584179
145. Dieks, D. The Logic of Identity: Distinguishability and Indistinguishability in Classical and Quantum Physics. Foundations of Physics 2014, 44, 1302-1316; doi:10.1007/s10701-014-9814-0
146. Dieks, D.; Dieks, D.; Gonzalez, W. J.; Hartmann, S.; Uebel, T.; Weber, M. The Gibbs Paradox Revisited. Explanation, Prediction, and Confirmation 2011, 0, 367-377; doi:10.1007/978-94-007-1180-8_25
147. Koutsoyiannis, D. Physics of uncertainty, the Gibbs paradox and indistinguishable particles. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 2013, 44, 480-489; doi:10.1016/j.shpsb.2013.08.007
148. Paglietti, A. Ideal gas interaction with thermal radiation in classical thermodynamics and Gibb’s paradox. Continuum Mechanics and Thermodynamics 2012, 24, 201-210; doi:10.1007/s00161-012-0233-1
149. Peters, H. Statistics of Distinguishable Particles and Resolution of the Gibbs Paradox of the First Kind. Journal of Statistical Physics 2010, 141, 785-828; doi:10.1007/s10955-010-0077-7
150. Peters, H. Demonstration and resolution of the Gibbs paradox of the first kind. European Journal of Physics 2013, 35, 15023-0; doi:10.1088/0143-0807/35/1/015023
151. Corti, D. S. Comment on “The Gibbs paradox and the distinguishability of identical particles,” by M. A. M. Versteegh and D. Dieks [Am. J. Phys. 79, 741–746 (2011)]. American Journal of Physics 2012, 80, 170-0; doi:10.1119/1.3657773

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Created by: Shu-Kun Lin
Created on: 16 July 2014

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The resolution of the Gibbs paradox has been very controversial. A list of papers mainly published in journals on this topic has been compiled by Dr. Shu-Kun Lin (E-mail: lin@mdpi.com) and is presented in this group. Comments and suggestions for additional papers to be listed here are welcomed.

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